If H = {x : x is an even natural number and x ≤ 10}, how many elements are in H?
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Answer and explanation
Correct answer: 5
The even natural numbers not exceeding 10 are 2, 4, 6, 8, and 10. Counting these distinct elements gives 5. Zero is not included under the usual natural-number convention, and 10 must be included because the condition is ≤ 10. Therefore, option B is correct.
Frequently asked questions
What is the correct answer to this question?
5
Why is this the correct answer?
The even natural numbers not exceeding 10 are 2, 4, 6, 8, and 10. Counting these distinct elements gives 5. Zero is not included under the usual natural-number convention, and 10 must be included because the condition is ≤ 10. Therefore, option B is correct.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Common Questions. Topic: General chapter practice.
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